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Finding the Fourth Proportional to 283,701.20, 391,437 and 182,978

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Solution

The fourth proportional to 283,701.20, 391,437 and 182,978 is: 252,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,701.20 : 391,437 = 182,978 : x
  2. Step 2: Convert to fraction form
    283,701.20/391,437 = 182,978/x
  3. Step 3: Cross multiply
    283,701.20x = 391,437 × 182,978
  4. Step 4: Simplify right side
    283,701.20x = 71,624,359,386
  5. Step 5: Solve for x
    x = 71,624,359,386/283,701.20
  6. Step 6: Final answer
    x = 252,464.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.